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Finding the Third Proportional to 238,327,864 and 364,417,752

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Solution

The third proportional to 238,327,864 and 364,417,752 is: 557,216,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,327,864 : 364,417,752 = 364,417,752 : x
  2. Step 2: Convert to fraction form
    238,327,864/364,417,752 = 364,417,752/x
  3. Step 3: Cross multiply
    238,327,864x = 364,417,752 × 364,417,752
  4. Step 4: Simplify right side
    238,327,864x = 132,800,297,972,733,504
  5. Step 5: Solve for x
    x = 132,800,297,972,733,504/238,327,864
  6. Step 6: Final answer
    x = 557,216,834.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.